13623554820100 has 81 divisors (see below), whose sum is σ = 29930317857237. Its totient is φ = 5382555590880.

The previous prime is 13623554820089. The next prime is 13623554820131. The reversal of 13623554820100 is 102845532631.

The square root of 13623554820100 is 3691010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4904479735236 + 8719075084864 = 2214606^2 + 2952808^2 .

It is a super-3 number, since 3×13623554820100³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3063536077 + ... + 3063540523.

Almost surely, 2^{13623554820100} is an apocalyptic number.

13623554820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13623554820100 is the 3691010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13623554820100

13623554820100 is an abundant number, since it is smaller than the sum of its proper divisors (16306763037137).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13623554820100 is an frugal number, since it uses more digits than its factorization.

13623554820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 13623554820100 in words is "thirteen trillion, six hundred twenty-three billion, five hundred fifty-four million, eight hundred twenty thousand, one hundred".